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Finding the Fourth Proportional to 197,272.98, 295,564.95 and 164,205.54

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Solution

The fourth proportional to 197,272.98, 295,564.95 and 164,205.54 is: 246,021.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,272.98 : 295,564.95 = 164,205.54 : x
  2. Step 2: Convert to fraction form
    197,272.98/295,564.95 = 164,205.54/x
  3. Step 3: Cross multiply
    197,272.98x = 295,564.95 × 164,205.54
  4. Step 4: Simplify right side
    197,272.98x = 48,533,402,219.82
  5. Step 5: Solve for x
    x = 48,533,402,219.82/197,272.98
  6. Step 6: Final answer
    x = 246,021.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.